Towards Quantum Simulations in Particle Physics and Beyond on Noisy Intermediate-Scale Quantum Devices

Abstract

We review two algorithmic advances that bring us closer to reliable quantum simulations of model systems in high energy physics and beyond on noisy intermediate-scale quantum (NISQ) devices. The first method is the dimensional expressivity analysis of quantum circuits, which allows for constructing minimal but maximally expressive quantum circuits. The second method is an efficient mitigation of readout errors on quantum devices. Both methods can lead to significant improvements in quantum simulations, e.g., when variational quantum eigensolvers are used.

arXiv comment15 pages, 6 figures, invited manuscript for Philosophical Transactions of the Royal Society A

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Cited by in corpus (18)

• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (I) Axial Gauge
• Tensor lattice field theory with applications to the renormalization group and quantum computing
• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (II) Single-Baryon $\beta$-Decay in Real Time
• Optimal compression of quantum many-body time evolution operators into brickwall circuits
• Dynamical quantum phase transitions in a noisy lattice gauge theory
• Topological-Graph Dependencies and Scaling Properties of a Heuristic Qubit-Assignment Algorithm
• State Preparation in the Heisenberg Model through Adiabatic Spiraling
• Dynamical localization transition of string breaking in quantum spin chains
• Preparation for Quantum Simulation of the 1+1D O(3) Non-linear σ-Model using Cold Atoms
• Critical behavior of Ising model by preparing thermal state on quantum computer
• Quantum Algorithms for Inverse Participation Ratio Estimation in multi-qubit and multi-qudit systems
• Studying the phase diagram of the three-flavor Schwinger model in the presence of a chemical potential with measurement- and gate-based quantum computing
• Measurement-based infused circuits for variational quantum eigensolvers
• Quantum Simulation of Bound State Scattering
• Digital simulation of convex mixtures of Markovian and non-Markovian single qubit Pauli channels on NISQ devices
• Identification of a natural fieldlike entanglement resource in trapped-ion chains
• Hamiltonian formulation of the $1+1$-dimensional ${\varphi }^4$ theory in a momentum-space Daubechies wavelet basis
• Dimensional Expressivity Analysis, best-approximation errors, and automated design of parametric quantum circuits